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A global approach to the nonlinear perturbation of a black hole by gravitational waves

Jun. 26 - 14:30 - 2025

Speaker: Jörg Frauendiener (University of Otago)

Title: A global approach to the nonlinear perturbation of a black hole by gravitational waves

Abstract: It is well known that gravitational waves interact in a nonlinear way. This makes it difficult to describe them rigorously. The cleanest description is based on certain conformal properties of the Einstein equations — first discovered by R. Penrose, they were rigorously developed and used by H. Friedrich to prove several important global results for general relativistic space-times. The conformal field equations, which implement this conformal framework, provide various well-posed initial (boundary) value problems for use in many different situations. The talk will give a computational perspective on one particular application, the non-linear interaction of gravitational waves with an initially static (and spherically symmetric) black hole. We will show how to 'kick' the black hole and possibly how to spin it up.

Room: Sala de Reuniões e Seminários (2-8.3, 2nd Floor of Physics Building)

 

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